A spherical bowling ball with mass m = 4.3 kg and radius R = 0.102 m is thrown down the lane with an initial speed of v = 8.2 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.29. Once the ball begins to roll without slipping it moves with a constant velocity down the lane.
magnitude of angular acceleration during sliding: 69.66 rad/s^2
magnitude of linear acceleration during sliding: 2.84 m/s^2
how long to roll without slipping: 0.824 s
length of slide before rolling: 5.79 m
and after it begins to roll without slipping, the rotational kinetic energy is less than the translational kinetic energy.
What is the magnitude of the final velocity?
The Attempt at a Solution
I assumed that the KE of the ball immediately before hitting would be equal to the sum of the final KE and Erot.
After mathing, I solved that the final velocity is 1.30559 m/s, but that isn't right.